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40423020100 = 225219312171721
BaseRepresentation
bin100101101001011001…
…100101011001000100
310212100011001011222121
4211221121211121010
51130241243120400
630323045335324
72630502000361
oct455131453104
9125304034877
1040423020100
1116163817331
127a01707544
133a728c3b08
141d56845468
1510b8be621a
hex969665644

40423020100 has 72 divisors (see below), whose sum is σ = 88296176808. Its totient is φ = 16062873600.

The previous prime is 40423020097. The next prime is 40423020133. The reversal of 40423020100 is 102032404.

It can be written as a sum of positive squares in 12 ways, for example, as 14007669316 + 26415350784 = 118354^2 + 162528^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23487240 + ... + 23488960.

It is an arithmetic number, because the mean of its divisors is an integer number (1226335789).

Almost surely, 240423020100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40423020100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44148088404).

40423020100 is an abundant number, since it is smaller than the sum of its proper divisors (47873156708).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

40423020100 is a wasteful number, since it uses less digits than its factorization.

40423020100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3145 (or 3138 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

Adding to 40423020100 its reverse (102032404), we get a palindrome (40525052504).

The spelling of 40423020100 in words is "forty billion, four hundred twenty-three million, twenty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 193 386 772 965 1217 1721 1930 2434 3442 3860 4825 4868 6085 6884 8605 9650 12170 17210 19300 24340 30425 34420 43025 60850 86050 121700 172100 234881 332153 469762 664306 939524 1174405 1328612 1660765 2094457 2348810 3321530 4188914 4697620 5872025 6643060 8303825 8377828 10472285 11744050 16607650 20944570 23488100 33215300 41889140 52361425 104722850 209445700 404230201 808460402 1616920804 2021151005 4042302010 8084604020 10105755025 20211510050 40423020100